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sulfate_aer_mod.F90 @ 4281

Last change on this file since 4281 was 2690, checked in by oboucher, 8 years ago
Adding a module for stratospheric aerosols with a bin scheme. The module gets activated with -strataer true compiling option. May not quite work yet, more testing needed, but should not affect the rest of LMDz as everything is under a CPP_StratAer key.
File size: 15.1 KB

Line
1	MODULE sulfate_aer_mod
2
3	! microphysical routines based on UPMC aerosol model by Slimane Bekki
4	! adapted for stratospheric sulfate aerosol in LMDZ by Christoph Kleinschmitt
5
6	CONTAINS
7
8	!********************************************************************
9	SUBROUTINE STRACOMP(sh,t_seri,pplay)
10
11	! AEROSOL H2SO4 WEIGHT FRACTION AS A FUNCTION OF PH2O AND TEMPERATURE
12	! ----------------------------------------------------------------
13	! INPUT:
14	! H2O: VMR of H2O
15	! t_seri: temperature (K)
16	! PMB: pressure (mb)
17	! klon: number of latitude bands in the model domain
18	! klev: number of altitude bands in the model domain
19	! for IFS: perhaps add another dimension for longitude
20	!
21	! OUTPUT:
22	! R2SO4: aerosol H2SO4 weight fraction (percent)
23
24	USE dimphy, ONLY : klon,klev
25	USE aerophys
26	USE phys_local_var_mod, ONLY: R2SO4
27
28	IMPLICIT NONE
29
30	REAL,DIMENSION(klon,klev),INTENT(IN) :: t_seri ! Temperature
31	REAL,DIMENSION(klon,klev),INTENT(IN) :: pplay ! pression pour le mileu de chaque couche (en Pa)
32	REAL,DIMENSION(klon,klev),INTENT(IN) :: sh ! humidite specifique
33
34	REAL PMB(klon,klev), H2O(klon,klev)
35	!
36	! working variables
37	INTEGER I,J,K
38	REAL TP, PH2O, VAL, A, B
39	! local variables to be saved on exit
40	INTEGER INSTEP
41	INTEGER, PARAMETER :: N=16, M=28
42	DATA INSTEP/0/
43	REAL F(N,M)
44	REAL XC(N)
45	REAL YC(M)
46	REAL XC1, XC16, YC1, YC28
47	!
48	SAVE INSTEP,F,XC,YC,XC1,XC16,YC1,YC28
49
50	! convert pplay (in Pa) to PMB (in mb)
51	PMB(:,:)=pplay(:,:)/100.0
52
53	! convert specific humidity sh (in kg/kg) to VMR H2O
54	H2O(:,:)=sh(:,:)*mAIRmol/mH2Omol
55
56	IF(INSTEP.EQ.0) THEN
57
58	INSTEP=1
59	XC(1)=0.01
60	XC(2)=0.1
61	XC(3)=0.5
62	XC(4)=1.0
63	XC(5)=1.5
64	XC(6)=2.0
65	XC(7)=3.0
66	XC(8)=5.0
67	XC(9)=6.0
68	XC(10)=8.0
69	XC(11)=10.0
70	XC(12)=12.0
71	XC(13)=15.0
72	XC(14)=20.0
73	XC(15)=30.0
74	XC(16)=100.0
75	!
76	YC(1)=175.0
77	DO I=2,28
78	YC(I)=YC(I-1)+5.0
79	ENDDO
80
81	! CONVERSION mb IN 1.0E-4mB
82	DO I=1,16
83	XC(I)=XC(I)*1.0E-4
84	ENDDO
85	!
86	XC1=XC(1)+1.E-10
87	XC16=XC(16)-1.E-8
88	YC1=YC(1)+1.E-5
89	YC28=YC(28)-1.E-5
90
91	F(6,4)=43.45
92	F(6,5)=53.96
93	F(6,6)=60.62
94	F(6,7)=65.57
95	F(6,8)=69.42
96	F(6,9)=72.56
97	F(6,10)=75.17
98	F(6,11)=77.38
99	F(6,12)=79.3
100	F(6,13)=80.99
101	F(6,14)=82.5
102	F(6,15)=83.92
103	F(6,16)=85.32
104	F(6,17)=86.79
105	F(6,18)=88.32
106	!
107	! ADD FACTOR BECAUSE THE SLOP IS TOO IMPORTANT
108	! NOT FOR THIS ONE BUT THE REST
109	! LOG DOESN'T WORK
110	A=(F(6,5)-F(6,4))/( (YC(5)-YC(4))*2.0)
111	B=-A*YC(4) + F(6,4)
112	F(6,1)=A*YC(1) + B
113	F(6,2)=A*YC(2) + B
114	F(6,3)=A*YC(3) + B
115	!
116	F(7,4)=37.02
117	F(7,5)=49.46
118	F(7,6)=57.51
119	F(7,7)=63.12
120	F(7,8)=67.42
121	F(7,9)=70.85
122	F(7,10)=73.70
123	F(7,11)=76.09
124	F(7,12)=78.15
125	F(7,13)=79.96
126	F(7,14)=81.56
127	F(7,15)=83.02
128	F(7,16)=84.43
129	F(7,17)=85.85
130	F(7,18)=87.33
131	!
132	A=(F(7,5)-F(7,4))/( (YC(5)-YC(4))*2.0)
133	B=-A*YC(4) + F(7,4)
134	F(7,1)=A*YC(1) + B
135	F(7,2)=A*YC(2) + B
136	F(7,3)=A*YC(3) + B
137	!
138	F(8,4)=25.85
139	F(8,5)=42.26
140	F(8,6)=52.78
141	F(8,7)=59.55
142	F(8,8)=64.55
143	F(8,9)=68.45
144	F(8,10)=71.63
145	F(8,11)=74.29
146	F(8,12)=76.56
147	F(8,13)=78.53
148	F(8,14)=80.27
149	F(8,15)=81.83
150	F(8,16)=83.27
151	F(8,17)=84.67
152	F(8,18)=86.10
153	!
154	A=(F(8,5)-F(8,4))/( (YC(5)-YC(4))*2.5 )
155	B=-A*YC(4) + F(8,4)
156	F(8,1)=A*YC(1) + B
157	F(8,2)=A*YC(2) + B
158	F(8,3)=A*YC(3) + B
159	!
160	F(9,4)=15.38
161	F(9,5)=39.35
162	F(9,6)=50.73
163	F(9,7)=58.11
164	F(9,8)=63.41
165	F(9,9)=67.52
166	F(9,10)=70.83
167	F(9,11)=73.6
168	F(9,12)=75.95
169	F(9,13)=77.98
170	F(9,14)=79.77
171	F(9,15)=81.38
172	F(9,16)=82.84
173	F(9,17)=84.25
174	F(9,18)=85.66
175	!
176	A=(F(9,5)-F(9,4))/( (YC(5)-YC(4))*7.0)
177	B=-A*YC(4) + F(9,4)
178	F(9,1)=A*YC(1) + B
179	F(9,2)=A*YC(2) + B
180	F(9,3)=A*YC(3) + B
181	!
182	F(10,4)=0.0
183	F(10,5)=34.02
184	F(10,6)=46.93
185	F(10,7)=55.61
186	F(10,8)=61.47
187	F(10,9)=65.94
188	F(10,10)=69.49
189	F(10,11)=72.44
190	F(10,12)=74.93
191	F(10,13)=77.08
192	F(10,14)=78.96
193	F(10,15)=80.63
194	F(10,16)=82.15
195	F(10,17)=83.57
196	F(10,18)=84.97
197	!
198	A=(F(10,6)-F(10,5))/( (YC(6)-YC(5))*1.5)
199	B=-A*YC(5) + F(10,5)
200	F(10,1)=A*YC(1) + B
201	F(10,2)=A*YC(2) + B
202	F(10,3)=A*YC(3) + B
203	F(10,4)=A*YC(4) + B
204	!
205	F(11,4)=0.0
206	F(11,5)=29.02
207	F(11,6)=43.69
208	F(11,7)=53.44
209	F(11,8)=59.83
210	F(11,9)=64.62
211	F(11,10)=68.39
212	F(11,11)=71.48
213	F(11,12)=74.10
214	F(11,13)=76.33
215	F(11,14)=78.29
216	F(11,15)=80.02
217	F(11,16)=81.58
218	F(11,17)=83.03
219	F(11,18)=84.44
220	!
221	A=(F(11,6)-F(11,5))/( (YC(6)-YC(5))*2.5 )
222	B=-A*YC(5) + F(11,5)
223	F(11,1)=A*YC(1) + B
224	F(11,2)=A*YC(2) + B
225	F(11,3)=A*YC(3) + B
226	F(11,4)=A*YC(4) + B
227	!
228	F(12,4)=0.0
229	F(12,5)=23.13
230	F(12,6)=40.86
231	F(12,7)=51.44
232	F(12,8)=58.38
233	F(12,9)=63.47
234	F(12,10)=67.43
235	F(12,11)=70.66
236	F(12,12)=73.38
237	F(12,13)=75.70
238	F(12,14)=77.72
239	F(12,15)=79.51
240	F(12,16)=81.11
241	F(12,17)=82.58
242	F(12,18)=83.99
243	!
244	A=(F(12,6)-F(12,5))/( (YC(6)-YC(5))*3.5 )
245	B=-A*YC(5) + F(12,5)
246	F(12,1)=A*YC(1) + B
247	F(12,2)=A*YC(2) + B
248	F(12,3)=A*YC(3) + B
249	F(12,4)=A*YC(4) + B
250	!
251	F(13,4)=0.0
252	F(13,5)=0.0
253	F(13,6)=36.89
254	F(13,7)=48.63
255	F(13,8)=56.46
256	F(13,9)=61.96
257	F(13,10)=66.19
258	F(13,11)=69.6
259	F(13,12)=72.45
260	F(13,13)=74.89
261	F(13,14)=76.99
262	F(13,15)=78.85
263	F(13,16)=80.50
264	F(13,17)=82.02
265	F(13,18)=83.44
266	!
267	A=(F(13,7)-F(13,6))/( (YC(7)-YC(6))*2.0)
268	B=-A*YC(6) + F(13,6)
269	F(13,1)=A*YC(1) + B
270	F(13,2)=A*YC(2) + B
271	F(13,3)=A*YC(3) + B
272	F(13,4)=A*YC(4) + B
273	F(13,5)=A*YC(5) + B
274	!
275	F(14,4)=0.0
276	F(14,5)=0.0
277	F(14,6)=30.82
278	F(14,7)=44.49
279	F(14,8)=53.69
280	F(14,9)=59.83
281	F(14,10)=64.47
282	F(14,11)=68.15
283	F(14,12)=71.19
284	F(14,13)=73.77
285	F(14,14)=76.0
286	F(14,15)=77.95
287	F(14,16)=79.69
288	F(14,17)=81.26
289	F(14,18)=82.72
290	!
291	A=(F(14,7)-F(14,6))/( (YC(7)-YC(6))*2.5 )
292	B=-A*YC(6) + F(14,6)
293	F(14,1)=A*YC(1) + B
294	F(14,2)=A*YC(2) + B
295	F(14,3)=A*YC(3) + B
296	F(14,4)=A*YC(4) + B
297	F(14,5)=A*YC(5) + B
298	!
299	F(15,4)=0.0
300	F(15,5)=0.0
301	F(15,6)=0.0
302	F(15,7)=37.71
303	F(15,8)=48.49
304	F(15,9)=56.40
305	F(15,10)=61.75
306	F(15,11)=65.89
307	F(15,12)=69.25
308	F(15,13)=72.07
309	F(15,14)=74.49
310	F(15,15)=76.59
311	F(15,16)=78.45
312	F(15,17)=80.12
313	F(15,18)=81.64
314	!
315	A=(F(15,8)-F(15,7))/( (YC(8)-YC(7))*1.5)
316	B=-A*YC(7) + F(15,7)
317	F(15,1)=A*YC(1) + B
318	F(15,2)=A*YC(2) + B
319	F(15,3)=A*YC(3) + B
320	F(15,4)=A*YC(4) + B
321	F(15,5)=A*YC(5) + B
322	F(15,6)=A*YC(6) + B
323
324	! SUPPOSE THAT AT GIVEN AND PH2O<2mB,
325	! %H2SO4 = A *LOG(PH2O) +B
326	! XC(1-5) :EXTENSION LEFT (LOW H2O)
327	DO J=1,18
328	A=(F(6,J)-F(7,J))/(LOG(XC(6))-LOG(XC(7)))
329	B=-A*LOG(XC(6)) + F(6,J)
330	DO K=1,5
331	F(K,J)=A*LOG(XC(K)) + B
332	ENDDO
333	ENDDO
334
335	! XC(16) :EXTENSION RIGHT (HIGH H2O)
336	DO J=1,18
337	A=(F(15,J)-F(14,J))/(XC(15)-XC(14))
338	B=-A*XC(15) + F(15,J)
339	F(16,J)=A*XC(16) + B
340	! F(16,2)=1.0
341	ENDDO
342
343	! YC(16-25) :EXTENSION DOWN (HIGH T)
344	DO I=1,16
345	A=(F(I,18)-F(I,17))/(YC(18)-YC(17))
346	B=-A*YC(18) + F(I,18)
347	DO K=19,28
348	F(I,K)=A*YC(K) + B
349	ENDDO
350	ENDDO
351
352	! MANUAL CORRECTIONS
353	DO J=1,10
354	F(1,J)=94.0
355	ENDDO
356
357	DO J=1,6
358	F(2,J)=77.0 +REAL(J)
359	ENDDO
360
361	DO J=1,7
362	F(16,J)=9.0
363	ENDDO
364
365	DO I=1,16
366	DO J=1,28
367	IF (F(I,J).LT.9.0) F(I,J)=30.0
368	IF (F(I,J).GT.99.99) F(I,J)=99.99
369	ENDDO
370	ENDDO
371
372	ENDIF
373
374	DO I=1,klon
375	DO J=1,klev
376	TP=t_seri(I,J)
377	IF (TP.LT.175.1) TP=175.1
378	! Partial pressure of H2O (mb)
379	PH2O =PMB(I,J)*H2O(I,J)
380	IF (PH2O.LT.XC1) THEN
381	R2SO4(I,J)=99.99
382	! PH2O=XC(1)+1.0E-10
383	ELSE
384	IF (PH2O.GT.XC16) PH2O=XC16
385	! SIMPLE LINEAR INTERPOLATIONS
386	CALL FIND(PH2O,TP,XC,YC,F,VAL,N,M)
387	IF (PMB(I,J).GE.10.0.AND.VAL.LT.60.0) VAL=60.0
388	R2SO4(I,J)=VAL
389	ENDIF
390	ENDDO
391	ENDDO
392
393	END SUBROUTINE
394
395	!****************************************************************
396	SUBROUTINE STRAACT(ACTSO4)
397
398	! H2SO4 ACTIVITY (GIAUQUE) AS A FUNCTION OF H2SO4 WP
399	! ----------------------------------------
400	! INPUT:
401	! H2SO4: VMR of H2SO4
402	! klon: number of latitude bands in the model domain
403	! klev: number of altitude bands in the model domain
404	! for IFS: perhaps add another dimension for longitude
405	!
406	! OUTPUT:
407	! ACTSO4: H2SO4 activity (percent)
408
409	USE dimphy, ONLY : klon,klev
410	USE phys_local_var_mod, ONLY: R2SO4
411
412	IMPLICIT NONE
413
414	REAL ACTSO4(klon,klev)
415
416	! Working variables
417	INTEGER NN,I,J,JX,JX1
418	REAL TC,TB,TA,XT
419	PARAMETER (NN=109)
420	REAL XC(NN), X(NN)
421
422	! H2SO4 activity
423	DATA X/ &
424	& 0.0,0.25,0.78,1.437,2.19,3.07,4.03,5.04,6.08 &
425	& ,7.13,8.18,14.33,18.59,28.59,39.17,49.49 &
426	& ,102.4,157.8,215.7,276.9,341.6,409.8,481.5,556.6 &
427	& ,635.5,719.,808.,902.,1000.,1103.,1211.,1322.,1437.,1555. &
428	& ,1677.,1800.,1926.,2054.,2183.,2312.,2442.,2572.,2701.,2829. &
429	& ,2955.,3080.,3203.,3325.,3446.,3564.,3681.,3796.,3910.,4022. &
430	& ,4134.,4351.,4564.,4771.,4974.,5171.,5364.,5551.,5732.,5908. &
431	& ,6079.,6244.,6404.,6559.,6709.,6854.,6994.,7131.,7264.,7393. &
432	& ,7520.,7821.,8105.,8373.,8627.,8867.,9093.,9308.,9511.,9703. &
433	& ,9885.,10060.,10225.,10535.,10819.,11079.,11318.,11537. &
434	& ,11740.,12097.,12407.,12676.,12915.,13126.,13564.,13910. &
435	& ,14191.,14423.,14617.,14786.,10568.,15299.,15491.,15654. &
436	& ,15811./
437	! H2SO4 weight fraction (percent)
438	DATA XC/ &
439	& 100.0,99.982,99.963,99.945,99.927,99.908,99.890,99.872 &
440	& ,99.853,99.835,99.817,99.725,99.634,99.452,99.270 &
441	& ,99.090,98.196,97.319,96.457,95.610,94.777,93.959,93.156 &
442	& ,92.365,91.588,90.824,90.073,89.334,88.607,87.892,87.188 &
443	& ,86.495,85.814,85.143,84.482,83.832,83.191,82.560,81.939 &
444	& ,81.327,80.724,80.130,79.545,78.968,78.399,77.839,77.286 &
445	& ,76.741,76.204,75.675,75.152,74.637,74.129,73.628,73.133 &
446	& ,72.164,71.220,70.300,69.404,68.530,67.678,66.847,66.037 &
447	& ,65.245,64.472,63.718,62.981,62.261,61.557,60.868,60.195 &
448	& ,59.537,58.893,58.263,57.646,56.159,54.747,53.405,52.126 &
449	& ,50.908,49.745,48.634,47.572,46.555,45.580,44.646,43.749 &
450	& ,42.059,40.495,39.043,37.691,36.430,35.251,33.107,31.209 &
451	& ,29.517,27.999,26.629,23.728,21.397,19.482,17.882,16.525 &
452	& ,15.360,13.461,11.980,10.792,9.819,8.932/
453
454	DO I=1,klon
455	DO J=1,klev
456	! HERE LINEAR INTERPOLATIONS
457	XT=R2SO4(I,J)
458	CALL POSACT(XT,XC,NN,JX)
459	JX1=JX+1
460	IF(JX.EQ.0) THEN
461	ACTSO4(I,J)=0.0
462	ELSE IF(JX.GE.NN) THEN
463	ACTSO4(I,J)=15811.0
464	ELSE
465	TC=XT -XC(JX)
466	TB=X(JX1) -X(JX)
467	TA=XC(JX1) -XC(JX)
468	TA=TB/TA
469	ACTSO4(I,J)=X(JX) + TA*TC
470	ENDIF
471	ENDDO
472	ENDDO
473
474	END SUBROUTINE
475
476	!****************************************************************
477	SUBROUTINE DENH2SA(t_seri)
478
479	! AERSOL DENSITY AS A FUNCTION OF H2SO4 WEIGHT PERCENT AND T
480	! ---------------------------------------------
481	! VERY ROUGH APPROXIMATION (SEE FOR WATER IN HANDBOOK
482	! LINEAR 2% FOR 30 DEGREES with RESPECT TO WATER)
483	!
484	! INPUT:
485	! R2SO4: aerosol H2SO4 weight fraction (percent)
486	! t_seri: temperature (K)
487	! klon: number of latitude bands in the model domain
488	! klev: number of altitude bands in the model domain
489	! for IFS: perhaps add another dimension for longitude
490	!
491	! OUTPUT:
492	! DENSO4: aerosol mass density (gr/cm3 = aerosol mass/aerosol volume)
493	!
494	USE dimphy, ONLY : klon,klev
495	USE phys_local_var_mod, ONLY: R2SO4, DENSO4
496
497	IMPLICIT NONE
498
499	REAL,DIMENSION(klon,klev),INTENT(IN) :: t_seri ! Temperature
500
501	INTEGER I,J
502
503	! Loop on model domain (2 dimension for UPMC model; 3 for IFS)
504	DO I=1,klon
505	DO J=1,klev
506	! RO AT 20C
507	DENSO4(I,J)=0.78681252E-5R2SO4(I,J)R2SO4(I,J)+ 0.82185978E-2*R2SO4(I,J)+0.97968381
508	DENSO4(I,J)=DENSO4(I,J)* ( 1.0 - (t_seri(I,J)-293.0)*0.02/30.0 )
509	ENDDO
510	ENDDO
511
512	END SUBROUTINE
513
514	!***********************************************************
515	SUBROUTINE FIND(X,Y,XC,YC,F,VAL,N,M)
516	!
517	! BI-LINEAR INTERPOLATION
518
519	! INPUT:
520	! X: Partial pressure of H2O (mb)
521	! Y: temperature (K)
522	! XC: Table partial pressure of H2O (mb)
523	! YC: Table temperature (K)
524	! F: Table aerosol H2SO4 weight fraction=f(XC,YC) (percent)
525	!
526	! OUTPUT:
527	! VAL: aerosol H2SO4 weight fraction (percent)
528
529	IMPLICIT NONE
530
531	INTEGER N,M
532	REAL X,Y,XC(N),YC(M),F(N,M),VAL
533	!
534	! working variables
535	INTEGER IERX,IERY,JX,JY,JXP1,JYP1
536	REAL SXY,SX1Y,SX1Y1,SXY1,TA,TB,T,UA,UB,U
537
538	IERX=0
539	IERY=0
540	CALL POSITION(XC,X,N,JX,IERX)
541	CALL POSITION(YC,Y,M,JY,IERY)
542
543	IF(JX.EQ.0.OR.IERY.EQ.1) THEN
544	VAL=99.99
545	RETURN
546	ENDIF
547
548	IF(JY.EQ.0.OR.IERX.EQ.1) THEN
549	VAL=9.0
550	RETURN
551	ENDIF
552
553	JXP1=JX+1
554	JYP1=JY+1
555	SXY=F(JX, JY )
556	SX1Y=F(JXP1,JY )
557	SX1Y1=F(JXP1,JYP1)
558	SXY1=F(JX, JYP1)
559
560	! x-slope.
561	TA=X -XC(JX)
562	TB=XC(JXP1)-XC(JX)
563	T=TA/TB
564
565	! y-slope.
566	UA=Y -YC(JY)
567	UB=YC(JYP1)-YC(JY)
568	U=UA/UB
569
570	! Use bilinear interpolation to determine function at point X,Y.
571	VAL=(1.-T)(1.-U)SXY + T(1.0-U)SX1Y + TUSX1Y1 + (1.0-T)USXY1
572
573	IF(VAL.LT.9.0) VAL=9.0
574	IF(VAL.GT.99.99) VAL=99.99
575
576	RETURN
577	END SUBROUTINE
578	!****************************************************************
579	SUBROUTINE POSITION(XC,X,N,JX,IER)
580
581	IMPLICIT NONE
582
583	INTEGER N,JX,IER,I
584	REAL X,XC(N)
585
586	IER=0
587	IF(X.LT.XC(1)) THEN
588	JX=0
589	ELSE
590	DO 10 I=1,N
591	IF (X.LT.XC(I)) GO TO 20
592	10 CONTINUE
593	IER=1
594	20 JX=I-1
595	ENDIF
596
597	RETURN
598	END SUBROUTINE
599	!********************************************************************
600	SUBROUTINE POSACT(XT,X,N,JX)
601
602	! POSITION OF XT IN THE ARRAY X
603	! -----------------------------------------------
604
605	IMPLICIT NONE
606
607	INTEGER N
608	REAL XT,X(N)
609	! Working variables
610	INTEGER JX,I
611
612	IF(XT.GT.X(1)) THEN
613	JX=0
614	ELSE
615	DO 10 I=1,N
616	IF (XT.GT.X(I)) GO TO 20
617	10 CONTINUE
618	20 JX=I
619	ENDIF
620
621	RETURN
622	END SUBROUTINE
623
624	END MODULE sulfate_aer_mod

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